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TRS Innermost pair #487524658
details
property
value
status
complete
benchmark
wiehe14.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n141.star.cs.uiowa.edu
space
Mixed_innermost
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.863950014114 seconds
cpu usage
0.509988998
max memory
8773632.0
stage attributes
key
value
output-size
26994
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem 1: (VAR v_NonEmpty:S x:S y:S) (RULES even(0) -> ttrue even(s(0)) -> ffalse even(s(s(x:S))) -> even(x:S) gt(s(x:S),s(y:S)) -> gt(x:S,y:S) gt(s(x:S),zero) -> ttrue gt(zero,y:S) -> ffalse half(0) -> 0 half(s(s(x:S))) -> s(half(x:S)) id(x:S) -> x:S if(ffalse,x:S,y:S) -> y:S if(ttrue,x:S,y:S) -> x:S if_times(ffalse,s(x:S),y:S) -> plus(y:S,times(x:S,y:S)) if_times(ttrue,s(x:S),y:S) -> plus(times(half(s(x:S)),y:S),times(half(s(x:S)),y:S)) not(x:S) -> if(x:S,ffalse,ttrue) plus(id(x:S),s(y:S)) -> s(plus(x:S,if(gt(s(y:S),y:S),y:S,s(y:S)))) plus(s(x:S),s(y:S)) -> s(s(plus(if(gt(x:S,y:S),x:S,y:S),if(not(gt(x:S,y:S)),id(x:S),id(y:S))))) plus(s(x:S),x:S) -> plus(if(gt(x:S,x:S),id(x:S),id(x:S)),s(x:S)) plus(zero,y:S) -> y:S times(0,y:S) -> 0 times(s(x:S),y:S) -> if_times(even(s(x:S)),s(x:S),y:S) ) (STRATEGY INNERMOST) Problem 1: Dependency Pairs Processor: -> Pairs: EVEN(s(s(x:S))) -> EVEN(x:S) GT(s(x:S),s(y:S)) -> GT(x:S,y:S) HALF(s(s(x:S))) -> HALF(x:S) IF_TIMES(ffalse,s(x:S),y:S) -> PLUS(y:S,times(x:S,y:S)) IF_TIMES(ffalse,s(x:S),y:S) -> TIMES(x:S,y:S) IF_TIMES(ttrue,s(x:S),y:S) -> HALF(s(x:S)) IF_TIMES(ttrue,s(x:S),y:S) -> PLUS(times(half(s(x:S)),y:S),times(half(s(x:S)),y:S)) IF_TIMES(ttrue,s(x:S),y:S) -> TIMES(half(s(x:S)),y:S) NOT(x:S) -> IF(x:S,ffalse,ttrue) PLUS(s(x:S),s(y:S)) -> GT(x:S,y:S) PLUS(s(x:S),s(y:S)) -> ID(x:S) PLUS(s(x:S),s(y:S)) -> ID(y:S) PLUS(s(x:S),s(y:S)) -> IF(gt(x:S,y:S),x:S,y:S) PLUS(s(x:S),s(y:S)) -> IF(not(gt(x:S,y:S)),id(x:S),id(y:S)) PLUS(s(x:S),s(y:S)) -> NOT(gt(x:S,y:S)) PLUS(s(x:S),s(y:S)) -> PLUS(if(gt(x:S,y:S),x:S,y:S),if(not(gt(x:S,y:S)),id(x:S),id(y:S))) PLUS(s(x:S),x:S) -> GT(x:S,x:S) PLUS(s(x:S),x:S) -> ID(x:S) PLUS(s(x:S),x:S) -> IF(gt(x:S,x:S),id(x:S),id(x:S)) PLUS(s(x:S),x:S) -> PLUS(if(gt(x:S,x:S),id(x:S),id(x:S)),s(x:S)) TIMES(s(x:S),y:S) -> EVEN(s(x:S)) TIMES(s(x:S),y:S) -> IF_TIMES(even(s(x:S)),s(x:S),y:S) -> Rules: even(0) -> ttrue even(s(0)) -> ffalse even(s(s(x:S))) -> even(x:S) gt(s(x:S),s(y:S)) -> gt(x:S,y:S) gt(s(x:S),zero) -> ttrue gt(zero,y:S) -> ffalse half(0) -> 0 half(s(s(x:S))) -> s(half(x:S)) id(x:S) -> x:S if(ffalse,x:S,y:S) -> y:S if(ttrue,x:S,y:S) -> x:S if_times(ffalse,s(x:S),y:S) -> plus(y:S,times(x:S,y:S)) if_times(ttrue,s(x:S),y:S) -> plus(times(half(s(x:S)),y:S),times(half(s(x:S)),y:S)) not(x:S) -> if(x:S,ffalse,ttrue) plus(id(x:S),s(y:S)) -> s(plus(x:S,if(gt(s(y:S),y:S),y:S,s(y:S)))) plus(s(x:S),s(y:S)) -> s(s(plus(if(gt(x:S,y:S),x:S,y:S),if(not(gt(x:S,y:S)),id(x:S),id(y:S))))) plus(s(x:S),x:S) -> plus(if(gt(x:S,x:S),id(x:S),id(x:S)),s(x:S)) plus(zero,y:S) -> y:S times(0,y:S) -> 0 times(s(x:S),y:S) -> if_times(even(s(x:S)),s(x:S),y:S) Problem 1: SCC Processor: -> Pairs: EVEN(s(s(x:S))) -> EVEN(x:S) GT(s(x:S),s(y:S)) -> GT(x:S,y:S) HALF(s(s(x:S))) -> HALF(x:S) IF_TIMES(ffalse,s(x:S),y:S) -> PLUS(y:S,times(x:S,y:S)) IF_TIMES(ffalse,s(x:S),y:S) -> TIMES(x:S,y:S) IF_TIMES(ttrue,s(x:S),y:S) -> HALF(s(x:S)) IF_TIMES(ttrue,s(x:S),y:S) -> PLUS(times(half(s(x:S)),y:S),times(half(s(x:S)),y:S)) IF_TIMES(ttrue,s(x:S),y:S) -> TIMES(half(s(x:S)),y:S) NOT(x:S) -> IF(x:S,ffalse,ttrue) PLUS(s(x:S),s(y:S)) -> GT(x:S,y:S) PLUS(s(x:S),s(y:S)) -> ID(x:S) PLUS(s(x:S),s(y:S)) -> ID(y:S) PLUS(s(x:S),s(y:S)) -> IF(gt(x:S,y:S),x:S,y:S)
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